A characterisation of Morita algebras in terms of covers
| Autor: | Tiago Cruz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Subcategory
Pure mathematics Mathematics::Operator Algebras General Mathematics 16G10 16S50 16L60 Mathematics - Rings and Algebras Schur functor Rings and Algebras (math.RA) Mathematics::Category Theory Morita therapy FOS: Mathematics Cover (algebra) Representation Theory (math.RT) Algebra over a field Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| DOI: | 10.18419/opus-13011 |
| Popis: | A pair (A, P) is called a cover of EndA(P)op if the Schur functor HomA(P,-) is fully faithful on the full subcategory of projective A-modules, for a given projective A-module P. By definition, Morita algebras are the covers of self-injective algebras and then P is a faithful projective-injective module. Conversely, we show that A is a Morita algebra and EndA(P)op is self-injective whenever (A, P) is a cover of EndA(P)op for a faithful projective-injective module P. Studienstiftung des Deutschen Volkes Projekt DEAL |
| Databáze: | OpenAIRE |
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